Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 6 Practice 7 Fraction of a Set to score better marks in the exam.

## Math in Focus Grade 4 Chapter 6 Practice 7 Answer Key Fraction of a Set

**Check (✓) the box next to the group of shapes that show \(\frac{3}{5}\) shaded.**

Question 1.

Answer:

Triangles and squares are shaded in \(\frac{3}{5}\).

Explanation:

Total number of rhombus = 8.

Number of rhombus shaded = Total number of rhombus × \(\frac{3}{5}\)

= 8 × \(\frac{3}{5}\)

= \(\frac{24}{5}\)

Total number of squares = 10.

Number of squares shaded = Total number of squares × \(\frac{3}{5}\)

= 10 × \(\frac{3}{5}\)

= 2 × 3

= 6.

Total number of triangles = 10.

Number of triangles shaded = Total number of triangles × \(\frac{3}{5}\)

= 15 × \(\frac{3}{5}\)

= 3 × 3

= 6.

**What fraction of each set of shapes is shaded? Express your answer in simplest form.**

Example

Question 2.

Answer:

Fraction of shaded squares = 2 ÷ 3 or \(\frac{2}{3}\)

Explanation:

Total number of squares = 15.

Number of squares shaded = 10.

Fraction of shaded squares = Number of squares shaded ÷ Total number of squares

= 10 ÷ 15

= 2 ÷ 3 or \(\frac{2}{3}\)

Question 3.

Answer:

Fraction of shaded triangles = 2 ÷ 5 or \(\frac{2}{5}\)

Explanation:

Total number of triangles = 10.

Number of triangles shaded = 4.

Fraction of shaded triangles = Number of triangles shaded ÷ Total number of triangles

= 4 ÷ 10

= 2 ÷ 5 or \(\frac{2}{5}\)

**Use a model to help you answer the question.**

Example

Question 4.

Answer:

Explanation:

3 ÷ 4 × 16 = 3 × 4 = 12.

4 units = 16.

1 unit = 4.

3 units = 12.

So, \(\frac{3}{4}\)× 16 = 3 × 4 = 12.

Question 5.

Answer:

Explanation:

5 units = 25.

1 unit = 5.

2 units = 10.

So, \(\frac{2}{5}\) × 25 = 10.

**Use a model to help you answer the question.**

Question 6.

Answer:

Explanation:

6 units = 30.

1 unit = 5.

5 units = 25.

So, \(\frac{5}{6}\)× 30 = 25.

**Solve.**

Example

\(\frac{2}{3}\) × 15

\(\frac{2}{3}\) of 15 is __10__

Question 7.

\(\frac{3}{4}\) × 12

\(\frac{2}{3}\) of 12 is ____

Answer:

\(\frac{3}{4}\) × 12

\(\frac{2}{3}\) of 12 is 8.

Explanation:

\(\frac{3}{4}\) × 12

\(\frac{2}{3}\) of 12 = 2 × 4 = 8.

Question 8.

\(\frac{2}{5}\) × 20

\(\frac{2}{5}\) of 20 is ____

Answer:

\(\frac{2}{5}\) × 20

\(\frac{2}{5}\) of 20 is 8.

Explanation:

\(\frac{2}{5}\) × 20

\(\frac{2}{5}\) of 20 = 2 × 4 = 8.

Question 9.

\(\frac{6}{7}\) × 42

\(\frac{6}{7}\) of 42 is ____

Answer:

\(\frac{6}{7}\) × 42

\(\frac{6}{7}\) of 42 is 36.

Explanation:

\(\frac{6}{7}\) × 42

\(\frac{6}{7}\) of 42 = 6 × 6 = 36.

**Fill in the blanks to solve each problem.**

Example

Question 10.

\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × ____

= ____

= ____

= ____

Answer:

\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × 24 = 16.

Explanation:

\(\frac{2}{3}\) of 24 = \(\frac{2}{3}\) × 24

= 2 × 8

= 16.

Question 11.

\(\frac{3}{4}\) of 32 = ___ × 32

= ____

= ____

= ____

Answer:

\(\frac{3}{4}\) of 32 = \(\frac{3}{4}\) × 32 = 24.

Explanation:

\(\frac{3}{4}\) of 32 = \(\frac{3}{4}\) × 32

= 3 × 8

= 24.

**Write each answer in the box. Then solve the riddle.**

Question 12.

Answer:

Explanation:

\(\frac{1}{4}\) × 28 = 1 × 7 = 7.

Question 13.

Answer:

Explanation:

\(\frac{2}{3}\) × 21 = 2 × 7 = 14.

Question 14.

Answer:

Explanation:

\(\frac{2}{5}\) × 50 = 2 × 10 = 20.

Question 15.

Answer:

Explanation:

\(\frac{3}{4}\) × 24 = 3 × 6 = 18.

Question 16.

Answer:

Explanation:

\(\frac{5}{6}\) × 30 = 5 × 5 = 25.

Question 17.

Answer:

Explanation:

\(\frac{6}{7}\) × 35 = 6 × 5 = 30.

18. Which animals often sleep about 18 to 20 hours a day?

Write the letters that match the answers to find out.

Answer:

Explanation: